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Finding the Third Proportional to 511,730 and 809,715

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Solution

The third proportional to 511,730 and 809,715 is: 1,281,219.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,730 : 809,715 = 809,715 : x
  2. Step 2: Convert to fraction form
    511,730/809,715 = 809,715/x
  3. Step 3: Cross multiply
    511,730x = 809,715 × 809,715
  4. Step 4: Simplify right side
    511,730x = 655,638,381,225
  5. Step 5: Solve for x
    x = 655,638,381,225/511,730
  6. Step 6: Final answer
    x = 1,281,219.36

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.